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Simplifying 4x + 6(2 + -1x) + 12 = 15 + 3(6 + x) 4x + (2 * 6 + -1x * 6) + 12 = 15 + 3(6 + x) 4x + (12 + -6x) + 12 = 15 + 3(6 + x) Reorder the terms: 12 + 12 + 4x + -6x = 15 + 3(6 + x) Combine like terms: 12 + 12 = 24 24 + 4x + -6x = 15 + 3(6 + x) Combine like terms: 4x + -6x = -2x 24 + -2x = 15 + 3(6 + x) 24 + -2x = 15 + (6 * 3 + x * 3) 24 + -2x = 15 + (18 + 3x) Combine like terms: 15 + 18 = 33 24 + -2x = 33 + 3x Solving 24 + -2x = 33 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 24 + -2x + -3x = 33 + 3x + -3x Combine like terms: -2x + -3x = -5x 24 + -5x = 33 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + -5x = 33 + 0 24 + -5x = 33 Add '-24' to each side of the equation. 24 + -24 + -5x = 33 + -24 Combine like terms: 24 + -24 = 0 0 + -5x = 33 + -24 -5x = 33 + -24 Combine like terms: 33 + -24 = 9 -5x = 9 Divide each side by '-5'. x = -1.8 Simplifying x = -1.8
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